HEAT KERNEL AND RIESZ TRANSFORM OF SCHRODINGER OPERATORS
Devyver, Baptiste
HAL, hal-01121514 / Harvested from HAL
Text on HAL
The goal of this article is twofold: in a first part, we prove Gaussian estimates for the heat kernel of Schrödinger operators ∆ + V whose potential V is " small at infinity " in an integral sense. In a second part, we prove sharp boundedness result for the associated Riesz transform with potential d(∆+V) −1/2. A characterization of p-hyperbolicity, which is of independent interest, is also proved.
Publié le : 2015-03-01
Classification:  p-hyperbolicity,  Heat kernel,  Riesz transform,  Schrödinger operators,  35K, 31E, 58J,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG],  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-01121514,
     author = {Devyver, Baptiste},
     title = {HEAT KERNEL AND RIESZ TRANSFORM OF SCHRODINGER OPERATORS},
     journal = {HAL},
     volume = {2015},
     number = {0},
     year = {2015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01121514}
}

Devyver, Baptiste. HEAT KERNEL AND RIESZ TRANSFORM OF SCHRODINGER OPERATORS. HAL, Tome 2015 (2015) no. 0, . http://gdmltest.u-ga.fr/item/hal-01121514/